Open Access

On the uniqueness of the fixed point index on differentiable manifolds

Fixed Point Theory and Applications20042004:478686

https://doi.org/10.1155/S168718200440713X

Received: 23 July 2004

Published: 26 December 2004

Abstract

It is well known that some of the properties enjoyed by the fixed point index can be chosen as axioms, the choice depending on the class of maps and spaces considered. In the context of finite-dimensional real differentiable manifolds, we will provide a simple proof that the fixed point index is uniquely determined by the properties of normalization, additivity, and homotopy invariance.

Authors’ Affiliations

(1)
Dipartimento di Matematica Applicata'G. Sansone', Università degli Studi di Firenze

Copyright

© Furi et al. 2004